Welcome to the forum!
Your photo is pretty small but it appears you are trying to remove the pressure switch. I don't know why it would be so hard to remove. Seems like you are doing it the right way. Keep applying penetrating oil for a few days and see if that helps.
It does have standard right hand threads. Not left handed threads.
I will give you some good advice. When you are trying to turn the pressure switch with that much force you need to hold the pump assembly with some large channel locks or something similar to keep from putting stress on it. The pump assembly is bolted to the master cylinder with just one bolt. You don't want to break that bolt by twisting too hard on the pressure switch.